27-30 October 2026
Sevastopol Hotel
Europe/Moscow timezone
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Photon sphere for a dyonic black hole corresponding to A_2 Toda chain

30 Oct 2026, 09:45
15m
Sevastopol Hotel

Sevastopol Hotel

Bol'shaya Yushunskaya str., 1A
Oral talk Gravitation and cosmology Gravitation and cosmology

Speaker

Dr. Vladimir Ivashchuk (SRCAM Rostest/RUDN University)

Description

We consider a dilatonic dyon black hole solution
with a gravitational radius of $2 \mu$ and two charges,
$Q_1$ (electric) and $Q_2$ (magnetic), within the framework
of a four-dimensional gravitational model comprising one scalar field and one 2-form. The dilaton coupling constant $\lambda$ is fixed by $\lambda^2 = \frac{3}{2}$. This solution is related to the $A_2$ Toda chain.
The circular orbits of null geodesics are explored, and the fifth-order polynomial master equation governing the photon sphere radius $R_0$
is analyzed. It is shown to admit a unique solution satisfying $R_0 > 2 \mu$.
The circular null geodesics are proven to be unstable.
Finally, the black hole shadow is examined, yielding relations
for the shadow angle and the critical impact parameter.

Primary author

Dr. Vladimir Ivashchuk (SRCAM Rostest/RUDN University)

Co-authors

Mr. Evgeny Trubach (MePhi)

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